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This paper develops power and sample size formulas for causal inference with time-to-event outcomes. The target estimand is the marginal hazard ratio: the coefficient of a marginal structural Cox proportional hazard model with treatment as…

Methodology · Statistics 2026-05-19 Chengxin Yang , Bo Liu , Fan Li

We consider one of the most basic multiple testing problems that compares expectations of multivariate data among several groups. As a test statistic, a conventional (approximate) $t$-statistic is considered, and we determine its rejection…

Methodology · Statistics 2016-12-20 Yoshiyuki Ninomiya , Satoshi Kuriki , Toshihiko Shiroishi , Toyoyuki Takada

Count data take on non-negative integer values and are challenging to properly analyze using standard linear-Gaussian methods such as linear regression and principal components analysis. Generalized linear models enable direct modeling of…

Methodology · Statistics 2020-01-14 F. William Townes

To investigate intervention effects on rare events, meta-analysis techniques are commonly applied in order to assess the accumulated evidence. When it comes to adverse effects in clinical trials, these are often most adequately handled…

Methodology · Statistics 2026-04-03 Christian Röver , Qiong Wu , Anja Loos , Tim Friede

A popular model selection approach for generalized linear mixed-effects models is the Akaike information criterion, or AIC. Among others, \cite{vaida05} pointed out the distinction between the marginal and conditional inference depending on…

Methodology · Statistics 2008-10-14 Heng Lian

Randomization tests allow simple and unambiguous tests of null hypotheses, by comparing observed data to a null ensemble in which experimentally-controlled variables are randomly resampled. In behavioral and neuroscience experiments,…

Methodology · Statistics 2023-11-08 Kenneth D. Harris , Kevin J. Miller

It will be recalled that the classical bivariate normal distributions have normal marginals and normal conditionals. It is natural to ask whether a similar phenomenon can be encountered involving Poisson marginals and conditionals.…

Methodology · Statistics 2020-09-04 Barry C. Arnold , B. G. Manjunath

In this paper, we propose a propensity score adapted variable selection procedure to select covariates for inclusion in propensity score models, in order to eliminate confounding bias and improve statistical efficiency in observational…

Methodology · Statistics 2021-09-14 Kangjie Zhou , Jinzhu Jia

We introduce a new regression method that relates the mean of an outcome variable to covariates, under the "adverse condition" that a distress variable falls in its tail. This allows to tailor classical mean regressions to adverse…

Econometrics · Economics 2025-02-04 Timo Dimitriadis , Yannick Hoga

The manuscript discusses how to incorporate random effects for quantile regression models for clustered data with focus on settings with many but small clusters. The paper has three contributions: (i) documenting that existing methods may…

Methodology · Statistics 2022-02-24 Maria Laura Battagliola , Helle Sørensen , Anders Tolver , Ana-Maria Staicu

Statistical models that include random effects are commonly used to analyze longitudinal and correlated data, often with strong and parametric assumptions about the random effects distribution. There is marked disagreement in the literature…

Methodology · Statistics 2012-01-11 Charles E. McCulloch , John M. Neuhaus

We consider the problem of choosing between parametric models for a discrete observable, taking a Bayesian approach in which the within-model prior distributions are allowed to be improper. In order to avoid the ambiguity in the marginal…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid , Monica Musio , Silvia Columbu

We propose a way to remove the bias of a Poisson regression when the subjects are partially observed. In this paper we address this issue under certain assumptions about the missing-data generating process. We fix the total number of…

Statistics Theory · Mathematics 2014-07-08 Seyed Jalil Kazemitabar

The issue of fairness arises when the automatic speech recognition (ASR) systems do not perform equally well for all subgroups of the population. In any fairness measurement studies for ASR, the open questions of how to control the nuisance…

Machine Learning · Statistics 2021-09-21 Zhe Liu , Irina-Elena Veliche , Fuchun Peng

This paper introduces a cure rate survival model by assuming that the time to the event of interest follows a beta prime distribution and that the number of competing causes of the event of interest follows a negative binomial distribution.…

Methodology · Statistics 2018-12-20 Jeremias Leão , Marcelo Bourguignon , Manoel Santos-Neto , Helton Saulo

Group-formation experiments, in which experimental units are randomly assigned to groups, are a powerful tool for studying peer effects in the social sciences. Existing design and analysis approaches allow researchers to draw inference from…

Methodology · Statistics 2021-03-02 Hui Xu , Guillaume Basse

Recently, several researchers have claimed that conclusions obtained from a Bayes factor (or the posterior odds) may contradict those obtained from Bayesian posterior estimation. In this short paper, we wish to point out that no such…

Statistics Theory · Mathematics 2022-10-24 Harlan Campbell , Paul Gustafson

Uncertainty associated with statistical problems arises due to what has not been seen as opposed to what has been seen. Using probability to quantify the uncertainty the task is to construct a probability model for what has not been seen…

Methodology · Statistics 2025-01-06 Fuheng Cui , Stephen G. Walker

Linear mixed models are widely used to analyze non-independent data, but inference for fixed effects can be unreliable under misspecification of the random-effects distribution, inaccurate Fisher information estimation, or convergence…

Methodology · Statistics 2026-05-01 Angela Andreella , Livio Finos

Stratifying factors, like age and gender, can modify the effect of treatments and exposures on risk of a studied outcome. Several effect measures, including the relative risk, hazard ratio, odds ratio, and risk difference, can be used to…

Methodology · Statistics 2021-11-05 Jake Shannin , Babette A. Brumback
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